Abstract
We discuss semigroups that preserve a convex set in a Banach space or a Hilbert space. We give sufficient conditions for which a semigroup preserves a convex set. Using this, we show that various issues can be treated in a unified way. We also discuss the problem in the Hilbert space setting, in which we use the sesquilinear form associated with a semigroup.
Citation
Ichiro Shigekawa. "Semigroups preserving a convex set in a Banach space." Kyoto J. Math. 51 (3) 647 - 672, Fall 2011. https://doi.org/10.1215/21562261-1299918
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